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In his first post-baby interview, the "X-Factor" judge gushed about his son Eric, who he and girlfriend Lauren Silverman welcomed together on Feb. 14, and revealed that he wouldn't mind being daddy to another child in the future.

Celeb Baby Boom

"I was born to be a dad," Cowell told Extra. "I wouldn't rule out [more children]. Well, I got Squiddly and Diddly, and I couldn't imagine Squiddly or just Diddly...I had a brother when I was younger, so I kind of think it's cool to have two or three...two."

He also talked about making it to New York City just in time for Eric's birth. "Phone rings at half past five in the morning, 'I'm about to give birth [said Lauren],' so we had to find a flight, which we did, and I got there with two hours to spare," Cowell, who was in London for "Britain's Got Talent" at the time, said.

Stars Steppin' Out

Once his son was born, the new dad was rushed with emotion and admitted during the interview that he cried and was surprised by the love he felt right away. "I actually said to Lauren beforehand, 'What if I like the dogs more than him?' and she said, 'You're gonna be absolutely fine,' and then literally within seconds of him being born, I got it."

Cowell and Silverman are doing great with the baby so far, but Simon confesses he has to take care of his lady more than the newborn!

"Lauren's actually been crying more than Eric, so I've had to put one of those pacifiers in her which she likes. Has to be fed every three hours, otherwise she gets a little bit grumpy, and Eric's absolutely fine."

The couple are planning to bring their baby boy to London to meet his grandmother. "I think she's told the whole village...she's really excited." He continued, "I look at him, Eric, and I think of my dad all the time, so it's a really good thing."